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Check if the series is an A.P. Find the common difference d an

Question

Check if the series is an A.P. Find the common difference $d$ and write three more terms of the the following series.
$2, \frac{5}{2}$ , $3, \frac{7}{2}, ...$

a = 2

;

d = \frac{1}{2}

; other terms

4,

\frac{9}{2}, 5

a = 3

;

d = \frac{1}{2}

; other terms

6, 8, 10

a = 2

;

d = \frac{3}{2}

; other terms

7, 8, 15

a = 3

;

d = \frac{3}{2}

; other terms

4, 5, 15

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Amelia Discussed

Check if the series is an A.P. Find the common difference

d

and write three more terms of the the following series.

2, \frac{5}{2}

3, \frac{7}{2}, ...

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

It is an A.P. because

a = 2

d = \frac{1}{2}

∵ [(t_{2} - t_{1}) = (t_{3} - t_{2}) = (t_{4} - t_{3}) = \frac{1}{2}]

t_{5} = \frac{7}{2} + \frac{1}{2} = 4

t_{6} = 4 + \frac{1}{2} = \frac{9}{2}

t_{7} = \frac{9}{2} + \frac{1}{2} = 5

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Question Text	Check if the series is an A.P. Find the common difference $d$ and write three more terms of the the following series. $2, \frac{5}{2}$ , $3, \frac{7}{2}, ...$
Answer Type	Text solution:1
Upvotes	150